Faculty

Institution

Unit

Venue

David J Zywina

Associate Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

David J Zywina is currently serving as a College Of Arts And Sciences Associate Professor at Cornell University.

Honors

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Experiences

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Education

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David J Zywina

Cornell University

Associate Professor

You can click a keyword to filter the displayed items

mathematics number theory algebraic number theory algebraic geometry mathematical sciences geometry of numbers applied mathematics modular forms representation theory analytic number theory galois action group theory automorphic forms finite fields diophantine analysis algebra computational number theory elliptic curves maximal galois action elliptic curve group representation inverse galois problem asymptotic analysis geometric topology algebraic combinatorics frattini subgroup elliptic function applied algebra galois theory galois extension galois extensions modular curves geometric group theory theoretical physics function spaces combinatorial theory algebraic analysis generalized functions constructive field theory nilpotent groups asymptotic formula schubert calculus metabelian group coxeter group modulus problem modern algebra enumerative geometry commutative algebra ring theory mod ell representations larger sieve irreducibility theorem global function fields characteristic polynomials random elements arithmetic groups galois representations

Notable Scholarly Works

Notable Federal Grants

Collaborators

An Elliptic Surface With Infinitely Many Fibers for Which the Rank Does Not Jump. arXiv (Cornell University) (2025)

Zywina, David

few bad primesmathematical scienceselliptic surfacealgebraic number theoryelliptic curveapplied mathematicsalgebraic geometrymathematicspure mathematics

Drinfeld Modules With Maximal Galois Action. arXiv (Cornell University) (2025)

Zywina, David

representation theorycommutative algebramaximal galois actionmathematical sciencesring theoryautomorphic formsgalois representationoperator algebrasalgebraic number theoryalgebraic geometrymathematicsgalois action

There Are Infinitely Many Elliptic Curves Over the Rationals of Rank 2. arXiv (Cornell University) (2025)

Zywina, David

mathematical scienceselliptic curvesdiophantine analysisexplicit modelsalgebraic number theorynumber theorymany elliptic curvesgroup theorygeometry of numbersalgebraic geometrymathematicspure mathematics

Improved Bounds for Integral Points on Modular Curves Using Runge's Method. arXiv (Cornell University) (2024)

Zywina, David

mathematical sciencesanalytic number theoryalgebraic number theoryintegral pointsnumber theorygeometry of numbersapplied mathematicsmodular curvesalgebraic geometrymathematicsmodular curve

Open Image Computations for Elliptic Curves Over Number Fields. Research in Number Theory (2024)

David Zywina

computational mathematicsmathematical sciencesdiophantine analysisnumber theoryapplied mathematicsapplied algebramathematicsopen image computations

The Inverse Galois Problem for Orthogonal Groups. Transactions of the American Mathematical Society Series B (2023)

David Zywina

inverse galois problemgroup representationgalois extensionmathematical sciencesalgebrafrattini subgroupalgebraic number theorygroup theoryapplied mathematicsorthogonal groupsmathematics

Determining Monodromy Groups of Abelian Varieties. Research in Number Theory (2022)

David Zywina

schubert calculusmathematical sciencesmonodromy groupsalgebraic geometrymetabelian group

Explicit Open Images for Elliptic Curves Over $\Mathbb{Q}$. arXiv (Cornell University) (2022)

Zywina, David

representation theoryexplicit modular curvesgalois representationautomorphic formsmodular formsdiophantine analysisalgebraic number theorynumber theorygeometry of numbersalgebraic geometrycomputational number theorymathematicsgalois action

Families of Abelian Varieties and Large Galois Images. International Mathematics Research Notices (2022)

David Zywina

abelian varietiesmathematical sciencesgalois representationautomorphic formslarge galois imagesnumber theorygeometry of numbersalgebraic geometryrepresentation theorymathematics

Galois Groups Arising From Families With Big Orthogonal Monodromy. International Journal of Number Theory (2022)

David Zywina

representation theorymathematical sciencesfinite fieldsanalytic number theorymodular formscompatible familyelliptic functionalgebraic number theorynumber theoryelliptic curvealgebraic geometrygalois groupsmathematics

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David J Zywina

Associate Professor

Cornell University

Affiliations

College of Arts and Sciences

Department of Mathematics

David J Zywina is currently serving as a College Of Arts And Sciences Associate Professor at Cornell University.

Honors

Create free account to unlock more features

Experiences

Create free account to unlock more features

Education

Create free account to unlock more features

David J Zywina

Cornell University

Associate Professor

You can click a keyword to filter the displayed items

Notable Scholarly Works

Notable Federal Grants

Collaborators

An Elliptic Surface With Infinitely Many Fibers for Which the Rank Does Not Jump. arXiv (Cornell University) (2025)

Zywina, David

few bad primesmathematical scienceselliptic surfacealgebraic number theoryelliptic curveapplied mathematicsalgebraic geometrymathematicspure mathematics

Drinfeld Modules With Maximal Galois Action. arXiv (Cornell University) (2025)

Zywina, David

There Are Infinitely Many Elliptic Curves Over the Rationals of Rank 2. arXiv (Cornell University) (2025)

Zywina, David

Improved Bounds for Integral Points on Modular Curves Using Runge's Method. arXiv (Cornell University) (2024)

Zywina, David

mathematical sciencesanalytic number theoryalgebraic number theoryintegral pointsnumber theorygeometry of numbersapplied mathematicsmodular curvesalgebraic geometrymathematicsmodular curve

Open Image Computations for Elliptic Curves Over Number Fields. Research in Number Theory (2024)

David Zywina

computational mathematicsmathematical sciencesdiophantine analysisnumber theoryapplied mathematicsapplied algebramathematicsopen image computations

The Inverse Galois Problem for Orthogonal Groups. Transactions of the American Mathematical Society Series B (2023)

David Zywina

inverse galois problemgroup representationgalois extensionmathematical sciencesalgebrafrattini subgroupalgebraic number theorygroup theoryapplied mathematicsorthogonal groupsmathematics

Determining Monodromy Groups of Abelian Varieties. Research in Number Theory (2022)

David Zywina

schubert calculusmathematical sciencesmonodromy groupsalgebraic geometrymetabelian group

Explicit Open Images for Elliptic Curves Over $\Mathbb{Q}$. arXiv (Cornell University) (2022)

Zywina, David

Families of Abelian Varieties and Large Galois Images. International Mathematics Research Notices (2022)

David Zywina

abelian varietiesmathematical sciencesgalois representationautomorphic formslarge galois imagesnumber theorygeometry of numbersalgebraic geometryrepresentation theorymathematics

Galois Groups Arising From Families With Big Orthogonal Monodromy. International Journal of Number Theory (2022)

David Zywina

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